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Connes-Lott model building on the two-sphere

J. A. Mignaco, C. Sigaud, A. R. da Silva, F. J. Vanhecke

hep-tharXiv:hep-th/9904171

Abstract

In this work we examine generalized Connes-Lott models on the two-sphere. The Hilbert space of the continuum spectral triple is taken as the space of sections of a twisted spinor bundle, allowing for nontrivial topological structure (magnetic monopoles). The finitely generated projective module over the full algebra is also taken as topologically non-trivial, which is possible over S2. We also construct a real spectral triple enlarging this Hilbert space to include "particle" and "anti-particle" fields.

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